Theorems · Theorem · number theory
NNRat.inv_def
∀ (q : ℚ≥0), q⁻¹ = NNRat.divNat q.den q.num
- Defined in
- Mathlib.Algebra.Field.Rat
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRatstatement and proof · cited by 523
- NNRat.castproof · cited by 235
- NNRat.numstatement and proof · cited by 53
- NNRat.denstatement and proof · cited by 51
- NNRat.extproof · cited by 18
- NNRat.divNatstatement · cited by 17
- NNRat.num_coeproof · cited by 14
Cited by3
Results whose statement or proof uses this declaration.
- NNRat.cast_inv_of_ne_zeroproof · cited by 1
- NNRat.den_inv_of_ne_zeroproof · cited by 0
- NNRat.num_inv_of_ne_zeroproof · cited by 0